Solve 90000{left(1+0.6/12right)}^10-90000

$$90000 { \left(1+ \frac{ 0.6 }{ 12 } \right) }^{ 10 } -90000$$

Evaluate

$$56600.5164099697265625$$

Solution Steps

Expand \frac{0.6}{12} by multiplying both numerator and the denominator by 10.

$$90000\left(1+\frac{6}{120}\right)^{10}-90000$$

Reduce the fraction \frac{6}{120} to lowest terms by extracting and canceling out 6.

$$90000\left(1+\frac{1}{20}\right)^{10}-90000$$

Add 1 and \frac{1}{20} to get \frac{21}{20}.

$$90000\times \left(\frac{21}{20}\right)^{10}-90000$$

Calculate \frac{21}{20} to the power of 10 and get \frac{16679880978201}{10240000000000}.

$$90000\times \frac{16679880978201}{10240000000000}-90000$$

Multiply 90000 and \frac{16679880978201}{10240000000000} to get \frac{150118928803809}{1024000000}.

$$\frac{150118928803809}{1024000000}-90000$$

Subtract 90000 from \frac{150118928803809}{1024000000} to get \frac{57958928803809}{1024000000}.

$$\frac{57958928803809}{1024000000}$$

Factor

$$\frac{11 \cdot 31 \cdot 41 \cdot 331 \cdot 521 \cdot 2671 \cdot 3 ^ {2}}{2 ^ {16} \cdot 5 ^ {6}} = 56600\frac{528803809}{1024000000} = 56600.51640996973$$